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Mathematics
List of top Mathematics Questions
What is the 11th term of the A.P. \(2,\,5,\,8,\,11,\,\ldots\)?
Bihar Board X - 2023
Bihar Board X
Mathematics
Arithmetic Progression
If the \(n\)th term of an A.P. is \(8n-2\), then the 7th term is
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Bihar Board X
Mathematics
Arithmetic Progression
If in an A.P. \(a_{30}-a_{20}=50\), then the common difference is
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Bihar Board X
Mathematics
Arithmetic Progression
If \((2x-1)\), \((3x+2)\) and \((6x-1)\) are three consecutive terms of an A.P., then the value of \(x\) is
Bihar Board X - 2023
Bihar Board X
Mathematics
Arithmetic Progression
The area of an equilateral triangle is \(36\sqrt{3}\ \text{cm}^2\). Its side is:
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Bihar Board X
Mathematics
Triangles
A circle has radius \(7\) cm. If the area of a minor sector is \(14\ \text{cm}^2\), find the area of the major sector.
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Bihar Board X
Mathematics
Circles
A circle has radius \(7\) cm. From external point \(P\), tangent \(PT=24\) cm. If \(O\) is centre, find \(OP\).
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Bihar Board X
Mathematics
Circles
From an external point \(P\), the length of one tangent to a circle is \(17\) cm. The other tangent from \(P\) to the same circle has length:
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Bihar Board X
Mathematics
Circles
The area of a circle is \(154\ \text{cm}^2\). Its diameter is:
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Bihar Board X
Mathematics
Circles
The number of common tangents of two intersecting circles is:
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Bihar Board X
Mathematics
Number System
If \(130 = 15 \times 8 + 10\) and \(15 = 5 \times 3 + 0\), then \(\mathrm{HCF}(130,\,15)\) will be:
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Bihar Board X
Mathematics
Number System
Two similar triangles have perimeters \(30\) cm and \(20\) cm. If a side of the first triangle is \(18\) cm, the corresponding side of the second is:
Bihar Board X - 2023
Bihar Board X
Mathematics
Triangles
The ratio of the areas of two similar triangles is \(121:64\). The ratio of their corresponding medians is:
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Bihar Board X
Mathematics
Triangles
Simplify \(1-\sin^{4}\theta\):
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Bihar Board X
Mathematics
Trigonometry
In \(\triangle ABC\), points \(X\) on \(AB\) and \(Y\) on \(AC\) satisfy \(XY\parallel BC\). If \(AX:XB=2:3\), then \(AY:YC=\) ?
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Bihar Board X
Mathematics
Triangles
The product of two numbers is \(8670\) and their HCF is \(17\). What is their LCM?
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Bihar Board X
Mathematics
Number System
Which of the following is a rational number?
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Bihar Board X
Mathematics
Number System
The sum of a rational number and an irrational number is which type of number?
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Bihar Board X
Mathematics
Number System
The HCF of two consecutive even numbers is:
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Bihar Board X
Mathematics
Number System
If \(q\) is a positive integer, which of the following is {not
an odd positive integer?}
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Bihar Board X
Mathematics
Number System
Which of the following has a terminating decimal expansion?
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Bihar Board X
Mathematics
Number System
If in the division algorithm \(a=bq+r\), \(a=72\), \(q=8\) and \(r=0\), then what is the value of \(b\)?
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Bihar Board X
Mathematics
Number System
What is the exponent of \(2\) in the prime factorization of \(192\)?
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Bihar Board X
Mathematics
Number System
The radii of two cylinders are in the ratio \(2:3\) and their heights are in the ratio \(5:3\). Then the ratio of their volumes is:
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Bihar Board X
Mathematics
Mensuration
If the total surface area of a hemisphere is \(462\ \text{cm}^2\), then its diameter is:
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Bihar Board X
Mathematics
Mensuration
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